A) 45
B) 40
C) 32
D) 48
Correct Answer: B
Solution :
Side of square, whose perimeter is \[24\,\text{cm}=\frac{24}{4}=6\,\text{cm}\] \[\therefore \]Area of the square \[={{6}^{2}}=36\,\,\text{c}{{\text{m}}^{2}}\] Again, side of square, whose perimeter is 32 cm \[=\frac{32}{4}=8\,\,\text{cm}\] \[\therefore \]Area of the square \[={{8}^{2}}=64\,\,\text{c}{{\text{m}}^{2}}\] According to the question, Area of the new square \[=64+36=100\,\,\text{c}{{\text{m}}^{2}}\] \[\therefore \]Side of the new square \[=\sqrt{100}=10\,\,\text{cm}\] \[\therefore \]Perimeter of the new square \[=10\times 4=40\,\,\text{cm}\]
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